2 papers
math.SP2023
Steklov Eigenvalue Problems on Nearly Spherical and Nearly Annular Domains
Nathan Schroeder, Weaam Alhejaili, Chiu-Yen Kao
We consider Steklov eigenvalues on nearly spherical and nearly annular domains in dimensions. By using the Green-Beltrami identity for spherical harmonic functions, the derivat…
math.NA2018
A Numerical Study of Steklov Eigenvalue Problem via Conformal Mapping
Weaam Alhejaili, Chiu-Yen Kao
In this paper, a spectral method based on conformal mappings is proposed to solve Steklov eigenvalue problems and their related shape optimization problems in two dimensions. To ap…